Regression Tables

ANOVA & Interaction Plots

betaO0 : intercept in outcome equation

ANOVA : Logit - Logit Specification
Sum Sq Df F value Pr(>F)
(Intercept) 58.62 1 213.02 0.00
dependence 174.89 1 635.55 0.00
selectivity 4.08 1 14.82 0.00
x_dist 20.75 3 25.13 0.00
dependence:selectivity 25.53 1 92.78 0.00
dependence:x_dist 14.69 3 17.79 0.00
selectivity:x_dist 2.41 3 2.92 0.03
dependence:selectivity:x_dist 0.24 3 0.30 0.83
Residuals 3923.63 14258 NA NA
Effect Size for ANOVA : Logit - Logit Specification
Parameter Eta2_partial CI CI_low CI_high
dependence 0.04 0.95 0.04 1
selectivity 0.00 0.95 0.00 1
x_dist 0.01 0.95 0.00 1
dependence:selectivity 0.01 0.95 0.00 1
dependence:x_dist 0.00 0.95 0.00 1
selectivity:x_dist 0.00 0.95 0.00 1
dependence:selectivity:x_dist 0.00 0.95 0.00 1

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14258) = 213.02, p < .001; Eta2 (partial) = 0.04, 95% CI [0.04, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14258) = 635.55, p < .001; Eta2 (partial) = 1.04e-03, 95% CI [3.41e-04, 1.00])
  • The main effect of selectivity is statistically significant and very small (F(1, 14258) = 14.82, p < .001; Eta2 (partial) = 5.26e-03, 95% CI [3.33e-03, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14258) = 25.13, p < .001; Eta2 (partial) = 6.46e-03, 95% CI [4.45e-03, 1.00])
  • The interaction between dependence and selectivity is statistically significant and very small (F(1, 14258) = 92.78, p < .001; Eta2 (partial) = 3.73e-03, 95% CI [2.12e-03, 1.00])
  • The interaction between dependence and x_dist is statistically significant and very small (F(3, 14258) = 17.79, p < .001; Eta2 (partial) = 6.15e-04, 95% CI [2.65e-05, 1.00])
  • The interaction between selectivity and x_dist is statistically significant and very small (F(3, 14258) = 2.92, p = 0.033; Eta2 (partial) = 6.24e-05, 95% CI [0.00, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically not significant and small (F(3, 14258) = 0.30, p = 0.828; Eta2 (partial) = 0.04, 95% CI [0.04, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Logit - Normal Specification
Sum Sq Df F value Pr(>F)
(Intercept) 12.63 1 431.10 0.00
dependence 13.90 1 474.47 0.00
selectivity 1.16 1 39.76 0.00
x_dist 1.95 3 22.22 0.00
dependence:selectivity 1.29 1 44.08 0.00
dependence:x_dist 1.31 3 14.95 0.00
selectivity:x_dist 0.03 3 0.35 0.79
dependence:selectivity:x_dist 0.09 3 0.98 0.40
Residuals 421.44 14384 NA NA
Effect Size for ANOVA : Logit - Normal Specification
Parameter Eta2_partial CI CI_low CI_high
dependence 0.03 0.95 0.03 1
selectivity 0.00 0.95 0.00 1
x_dist 0.00 0.95 0.00 1
dependence:selectivity 0.00 0.95 0.00 1
dependence:x_dist 0.00 0.95 0.00 1
selectivity:x_dist 0.00 0.95 0.00 1
dependence:selectivity:x_dist 0.00 0.95 0.00 1

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14384) = 431.10, p < .001; Eta2 (partial) = 0.03, 95% CI [0.03, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14384) = 474.47, p < .001; Eta2 (partial) = 2.76e-03, 95% CI [1.51e-03, 1.00])
  • The main effect of selectivity is statistically significant and very small (F(1, 14384) = 39.76, p < .001; Eta2 (partial) = 4.61e-03, 95% CI [2.82e-03, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14384) = 22.22, p < .001; Eta2 (partial) = 3.06e-03, 95% CI [1.73e-03, 1.00])
  • The interaction between dependence and selectivity is statistically significant and very small (F(1, 14384) = 44.08, p < .001; Eta2 (partial) = 3.11e-03, 95% CI [1.65e-03, 1.00])
  • The interaction between dependence and x_dist is statistically significant and very small (F(3, 14384) = 14.95, p < .001; Eta2 (partial) = 7.29e-05, 95% CI [0.00, 1.00])
  • The interaction between selectivity and x_dist is statistically not significant and very small (F(3, 14384) = 0.35, p = 0.789; Eta2 (partial) = 2.03e-04, 95% CI [0.00, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically not significant and small (F(3, 14384) = 0.98, p = 0.403; Eta2 (partial) = 0.03, 95% CI [0.03, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Logit - Poisson Specification
Sum Sq Df F value Pr(>F)
(Intercept) 2.83 1 774.33 0
dependence 3.03 1 829.15 0
selectivity 0.19 1 52.39 0
x_dist 0.88 3 80.25 0
dependence:selectivity 0.27 1 74.38 0
dependence:x_dist 0.97 3 88.07 0
selectivity:x_dist 0.12 3 10.83 0
dependence:selectivity:x_dist 0.13 3 12.15 0
Residuals 52.61 14384 NA NA
Effect Size for ANOVA : Logit - Poisson Specification
Parameter Eta2_partial CI CI_low CI_high
dependence 0.05 0.95 0.05 1
selectivity 0.00 0.95 0.00 1
x_dist 0.02 0.95 0.01 1
dependence:selectivity 0.01 0.95 0.00 1
dependence:x_dist 0.02 0.95 0.01 1
selectivity:x_dist 0.00 0.95 0.00 1
dependence:selectivity:x_dist 0.00 0.95 0.00 1

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14384) = 774.33, p < .001; Eta2 (partial) = 0.05, 95% CI [0.05, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14384) = 829.15, p < .001; Eta2 (partial) = 3.63e-03, 95% CI [2.17e-03, 1.00])
  • The main effect of selectivity is statistically significant and small (F(1, 14384) = 52.39, p < .001; Eta2 (partial) = 0.02, 95% CI [0.01, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14384) = 80.25, p < .001; Eta2 (partial) = 5.14e-03, 95% CI [3.37e-03, 1.00])
  • The interaction between dependence and selectivity is statistically significant and small (F(1, 14384) = 74.38, p < .001; Eta2 (partial) = 0.02, 95% CI [0.01, 1.00])
  • The interaction between dependence and x_dist is statistically significant and very small (F(3, 14384) = 88.07, p < .001; Eta2 (partial) = 2.25e-03, 95% CI [1.02e-03, 1.00])
  • The interaction between selectivity and x_dist is statistically significant and very small (F(3, 14384) = 10.83, p < .001; Eta2 (partial) = 2.53e-03, 95% CI [1.22e-03, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically significant and small (F(3, 14384) = 12.15, p < .001; Eta2 (partial) = 0.05, 95% CI [0.05, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Logit - Probit Specification
Sum Sq Df F value Pr(>F)
(Intercept) 47.15 1 299.85 0.00
dependence 91.32 1 580.81 0.00
selectivity 4.66 1 29.67 0.00
x_dist 8.17 3 17.32 0.00
dependence:selectivity 11.01 1 70.03 0.00
dependence:x_dist 10.60 3 22.48 0.00
selectivity:x_dist 1.73 3 3.67 0.01
dependence:selectivity:x_dist 0.42 3 0.90 0.44
Residuals 2242.14 14260 NA NA
Effect Size for ANOVA : Logit - Probit Specification
Parameter Eta2_partial CI CI_low CI_high
dependence 0.04 0.95 0.03 1
selectivity 0.00 0.95 0.00 1
x_dist 0.00 0.95 0.00 1
dependence:selectivity 0.00 0.95 0.00 1
dependence:x_dist 0.00 0.95 0.00 1
selectivity:x_dist 0.00 0.95 0.00 1
dependence:selectivity:x_dist 0.00 0.95 0.00 1

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14260) = 299.85, p < .001; Eta2 (partial) = 0.04, 95% CI [0.03, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14260) = 580.81, p < .001; Eta2 (partial) = 2.08e-03, 95% CI [1.01e-03, 1.00])
  • The main effect of selectivity is statistically significant and very small (F(1, 14260) = 29.67, p < .001; Eta2 (partial) = 3.63e-03, 95% CI [2.04e-03, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14260) = 17.32, p < .001; Eta2 (partial) = 4.89e-03, 95% CI [3.16e-03, 1.00])
  • The interaction between dependence and selectivity is statistically significant and very small (F(1, 14260) = 70.03, p < .001; Eta2 (partial) = 4.71e-03, 95% CI [2.89e-03, 1.00])
  • The interaction between dependence and x_dist is statistically significant and very small (F(3, 14260) = 22.48, p < .001; Eta2 (partial) = 7.71e-04, 95% CI [9.60e-05, 1.00])
  • The interaction between selectivity and x_dist is statistically significant and very small (F(3, 14260) = 3.67, p = 0.012; Eta2 (partial) = 1.89e-04, 95% CI [0.00, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically not significant and small (F(3, 14260) = 0.90, p = 0.441; Eta2 (partial) = 0.04, 95% CI [0.03, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Probit - Logit Specification
Sum Sq Df F value Pr(>F)
(Intercept) 51.90 1 275.86 0.00
dependence 89.80 1 477.35 0.00
selectivity 4.97 1 26.42 0.00
x_dist 19.73 3 34.96 0.00
dependence:selectivity 23.38 1 124.28 0.00
dependence:x_dist 12.12 3 21.47 0.00
selectivity:x_dist 3.30 3 5.85 0.00
dependence:selectivity:x_dist 0.08 3 0.15 0.93
Residuals 2691.60 14307 NA NA
Effect Size for ANOVA : Probit - Logit Specification
Parameter Eta2_partial CI CI_low CI_high
dependence 0.03 0.95 0.03 1
selectivity 0.00 0.95 0.00 1
x_dist 0.01 0.95 0.01 1
dependence:selectivity 0.01 0.95 0.01 1
dependence:x_dist 0.00 0.95 0.00 1
selectivity:x_dist 0.00 0.95 0.00 1
dependence:selectivity:x_dist 0.00 0.95 0.00 1

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14307) = 275.86, p < .001; Eta2 (partial) = 0.03, 95% CI [0.03, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14307) = 477.35, p < .001; Eta2 (partial) = 1.84e-03, 95% CI [8.53e-04, 1.00])
  • The main effect of selectivity is statistically significant and very small (F(1, 14307) = 26.42, p < .001; Eta2 (partial) = 7.28e-03, 95% CI [5.01e-03, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14307) = 34.96, p < .001; Eta2 (partial) = 8.61e-03, 95% CI [6.27e-03, 1.00])
  • The interaction between dependence and selectivity is statistically significant and very small (F(1, 14307) = 124.28, p < .001; Eta2 (partial) = 4.48e-03, 95% CI [2.71e-03, 1.00])
  • The interaction between dependence and x_dist is statistically significant and very small (F(3, 14307) = 21.47, p < .001; Eta2 (partial) = 1.22e-03, 95% CI [3.43e-04, 1.00])
  • The interaction between selectivity and x_dist is statistically significant and very small (F(3, 14307) = 5.85, p < .001; Eta2 (partial) = 3.11e-05, 95% CI [0.00, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically not significant and small (F(3, 14307) = 0.15, p = 0.931; Eta2 (partial) = 0.03, 95% CI [0.03, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Probit - Normal Specification
Sum Sq Df F value Pr(>F)
(Intercept) 8.79 1 381.22 0.00
dependence 9.86 1 427.66 0.00
selectivity 1.03 1 44.66 0.00
x_dist 1.84 3 26.65 0.00
dependence:selectivity 1.61 1 69.98 0.00
dependence:x_dist 1.42 3 20.57 0.00
selectivity:x_dist 0.10 3 1.46 0.22
dependence:selectivity:x_dist 0.33 3 4.80 0.00
Residuals 331.54 14384 NA NA
Effect Size for ANOVA : Probit - Normal Specification
Parameter Eta2_partial CI CI_low CI_high
dependence 0.03 0.95 0.02 1
selectivity 0.00 0.95 0.00 1
x_dist 0.01 0.95 0.00 1
dependence:selectivity 0.00 0.95 0.00 1
dependence:x_dist 0.00 0.95 0.00 1
selectivity:x_dist 0.00 0.95 0.00 1
dependence:selectivity:x_dist 0.00 0.95 0.00 1

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14384) = 381.22, p < .001; Eta2 (partial) = 0.03, 95% CI [0.02, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14384) = 427.66, p < .001; Eta2 (partial) = 3.10e-03, 95% CI [1.76e-03, 1.00])
  • The main effect of selectivity is statistically significant and very small (F(1, 14384) = 44.66, p < .001; Eta2 (partial) = 5.53e-03, 95% CI [3.56e-03, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14384) = 26.65, p < .001; Eta2 (partial) = 4.84e-03, 95% CI [3.13e-03, 1.00])
  • The interaction between dependence and selectivity is statistically significant and very small (F(1, 14384) = 69.98, p < .001; Eta2 (partial) = 4.27e-03, 95% CI [2.55e-03, 1.00])
  • The interaction between dependence and x_dist is statistically significant and very small (F(3, 14384) = 20.57, p < .001; Eta2 (partial) = 3.04e-04, 95% CI [0.00, 1.00])
  • The interaction between selectivity and x_dist is statistically not significant and very small (F(3, 14384) = 1.46, p = 0.224; Eta2 (partial) = 1.00e-03, 95% CI [2.17e-04, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically significant and small (F(3, 14384) = 4.80, p = 0.002; Eta2 (partial) = 0.03, 95% CI [0.02, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Probit - Poisson Specification
Sum Sq Df F value Pr(>F)
(Intercept) 2.06 1 790.24 0
dependence 1.86 1 712.91 0
selectivity 0.14 1 55.04 0
x_dist 0.65 3 82.83 0
dependence:selectivity 0.30 1 114.90 0
dependence:x_dist 0.90 3 115.54 0
selectivity:x_dist 0.13 3 16.96 0
dependence:selectivity:x_dist 0.20 3 25.83 0
Residuals 37.54 14384 NA NA
Effect Size for ANOVA : Probit - Poisson Specification
Parameter Eta2_partial CI CI_low CI_high
dependence 0.05 0.95 0.04 1
selectivity 0.00 0.95 0.00 1
x_dist 0.02 0.95 0.01 1
dependence:selectivity 0.01 0.95 0.01 1
dependence:x_dist 0.02 0.95 0.02 1
selectivity:x_dist 0.00 0.95 0.00 1
dependence:selectivity:x_dist 0.01 0.95 0.00 1

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14384) = 790.24, p < .001; Eta2 (partial) = 0.05, 95% CI [0.04, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14384) = 712.91, p < .001; Eta2 (partial) = 3.81e-03, 95% CI [2.31e-03, 1.00])
  • The main effect of selectivity is statistically significant and small (F(1, 14384) = 55.04, p < .001; Eta2 (partial) = 0.02, 95% CI [0.01, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14384) = 82.83, p < .001; Eta2 (partial) = 7.93e-03, 95% CI [5.69e-03, 1.00])
  • The interaction between dependence and selectivity is statistically significant and small (F(1, 14384) = 114.90, p < .001; Eta2 (partial) = 0.02, 95% CI [0.02, 1.00])
  • The interaction between dependence and x_dist is statistically significant and very small (F(3, 14384) = 115.54, p < .001; Eta2 (partial) = 3.53e-03, 95% CI [1.97e-03, 1.00])
  • The interaction between selectivity and x_dist is statistically significant and very small (F(3, 14384) = 16.96, p < .001; Eta2 (partial) = 5.36e-03, 95% CI [3.42e-03, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically significant and small (F(3, 14384) = 25.83, p < .001; Eta2 (partial) = 0.05, 95% CI [0.04, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Probit - Probit Specification
Sum Sq Df F value Pr(>F)
(Intercept) 37.27 1 276.82 0.00
dependence 48.76 1 362.11 0.00
selectivity 4.16 1 30.93 0.00
x_dist 15.61 3 38.65 0.00
dependence:selectivity 13.79 1 102.42 0.00
dependence:x_dist 5.16 3 12.78 0.00
selectivity:x_dist 5.65 3 13.99 0.00
dependence:selectivity:x_dist 0.68 3 1.69 0.17
Residuals 1913.77 14213 NA NA
Effect Size for ANOVA : Probit - Probit Specification
Parameter Eta2_partial CI CI_low CI_high
dependence 0.02 0.95 0.02 1
selectivity 0.00 0.95 0.00 1
x_dist 0.01 0.95 0.01 1
dependence:selectivity 0.01 0.95 0.01 1
dependence:x_dist 0.00 0.95 0.00 1
selectivity:x_dist 0.00 0.95 0.00 1
dependence:selectivity:x_dist 0.00 0.95 0.00 1

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14213) = 276.82, p < .001; Eta2 (partial) = 0.02, 95% CI [0.02, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14213) = 362.11, p < .001; Eta2 (partial) = 2.17e-03, 95% CI [1.08e-03, 1.00])
  • The main effect of selectivity is statistically significant and very small (F(1, 14213) = 30.93, p < .001; Eta2 (partial) = 8.09e-03, 95% CI [5.69e-03, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14213) = 38.65, p < .001; Eta2 (partial) = 7.15e-03, 95% CI [5.03e-03, 1.00])
  • The interaction between dependence and selectivity is statistically significant and very small (F(1, 14213) = 102.42, p < .001; Eta2 (partial) = 2.69e-03, 95% CI [1.33e-03, 1.00])
  • The interaction between dependence and x_dist is statistically significant and very small (F(3, 14213) = 12.78, p < .001; Eta2 (partial) = 2.95e-03, 95% CI [1.52e-03, 1.00])
  • The interaction between selectivity and x_dist is statistically significant and very small (F(3, 14213) = 13.99, p < .001; Eta2 (partial) = 3.57e-04, 95% CI [0.00, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically not significant and small (F(3, 14213) = 1.69, p = 0.166; Eta2 (partial) = 0.02, 95% CI [0.02, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

betaO1 : coefficient on endogenous variable X1

ANOVA : Logit - Logit Specification
Sum Sq Df F value Pr(>F)
(Intercept) 43.29 1 588.88 0.00
dependence 15.27 1 207.66 0.00
selectivity 1.18 1 16.04 0.00
x_dist 3.90 3 17.67 0.00
dependence:selectivity 3.03 1 41.29 0.00
dependence:x_dist 1.99 3 9.01 0.00
selectivity:x_dist 0.33 3 1.51 0.21
dependence:selectivity:x_dist 0.54 3 2.44 0.06
Residuals 1052.07 14312 NA NA

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14312) = 588.88, p < .001; Eta2 (partial) = 0.01, 95% CI [0.01, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14312) = 207.66, p < .001; Eta2 (partial) = 1.12e-03, 95% CI [3.89e-04, 1.00])
  • The main effect of selectivity is statistically significant and very small (F(1, 14312) = 16.04, p < .001; Eta2 (partial) = 3.69e-03, 95% CI [2.09e-03, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14312) = 17.67, p < .001; Eta2 (partial) = 2.88e-03, 95% CI [1.59e-03, 1.00])
  • The interaction between dependence and selectivity is statistically significant and very small (F(1, 14312) = 41.29, p < .001; Eta2 (partial) = 1.89e-03, 95% CI [7.66e-04, 1.00])
  • The interaction between dependence and x_dist is statistically significant and very small (F(3, 14312) = 9.01, p < .001; Eta2 (partial) = 3.16e-04, 95% CI [0.00, 1.00])
  • The interaction between selectivity and x_dist is statistically not significant and very small (F(3, 14312) = 1.51, p = 0.211; Eta2 (partial) = 5.12e-04, 95% CI [0.00, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically not significant and small (F(3, 14312) = 2.44, p = 0.062; Eta2 (partial) = 0.01, 95% CI [0.01, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Logit - Normal Specification
Sum Sq Df F value Pr(>F)
(Intercept) 5.18 1 1235.87 0.00
dependence 1.02 1 244.33 0.00
selectivity 0.15 1 36.32 0.00
x_dist 2.68 3 213.04 0.00
dependence:selectivity 0.02 1 3.85 0.05
dependence:x_dist 0.01 3 1.18 0.32
selectivity:x_dist 0.14 3 11.33 0.00
dependence:selectivity:x_dist 0.01 3 0.56 0.64
Residuals 60.34 14384 NA NA

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14384) = 1235.87, p < .001; Eta2 (partial) = 0.02, 95% CI [0.01, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14384) = 244.33, p < .001; Eta2 (partial) = 2.52e-03, 95% CI [1.33e-03, 1.00])
  • The main effect of selectivity is statistically significant and small (F(1, 14384) = 36.32, p < .001; Eta2 (partial) = 0.04, 95% CI [0.04, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14384) = 213.04, p < .001; Eta2 (partial) = 2.68e-04, 95% CI [2.07e-07, 1.00])
  • The interaction between dependence and selectivity is statistically significant and very small (F(1, 14384) = 3.85, p = 0.050; Eta2 (partial) = 2.46e-04, 95% CI [0.00, 1.00])
  • The interaction between dependence and x_dist is statistically not significant and very small (F(3, 14384) = 1.18, p = 0.316; Eta2 (partial) = 2.36e-03, 95% CI [1.10e-03, 1.00])
  • The interaction between selectivity and x_dist is statistically significant and very small (F(3, 14384) = 11.33, p < .001; Eta2 (partial) = 1.17e-04, 95% CI [0.00, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically not significant and small (F(3, 14384) = 0.56, p = 0.640; Eta2 (partial) = 0.02, 95% CI [0.01, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Logit - Poisson Specification
Sum Sq Df F value Pr(>F)
(Intercept) 0.57 1 677.56 0
dependence 0.49 1 587.57 0
selectivity 0.02 1 25.51 0
x_dist 1.48 3 589.02 0
dependence:selectivity 0.04 1 42.00 0
dependence:x_dist 0.61 3 243.77 0
selectivity:x_dist 0.04 3 14.91 0
dependence:selectivity:x_dist 0.08 3 31.43 0
Residuals 12.07 14384 NA NA

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14384) = 677.56, p < .001; Eta2 (partial) = 0.04, 95% CI [0.03, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14384) = 587.57, p < .001; Eta2 (partial) = 1.77e-03, 95% CI [8.06e-04, 1.00])
  • The main effect of selectivity is statistically significant and medium (F(1, 14384) = 25.51, p < .001; Eta2 (partial) = 0.11, 95% CI [0.10, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14384) = 589.02, p < .001; Eta2 (partial) = 2.91e-03, 95% CI [1.62e-03, 1.00])
  • The interaction between dependence and selectivity is statistically significant and small (F(1, 14384) = 42.00, p < .001; Eta2 (partial) = 0.05, 95% CI [0.04, 1.00])
  • The interaction between dependence and x_dist is statistically significant and very small (F(3, 14384) = 243.77, p < .001; Eta2 (partial) = 3.10e-03, 95% CI [1.64e-03, 1.00])
  • The interaction between selectivity and x_dist is statistically significant and very small (F(3, 14384) = 14.91, p < .001; Eta2 (partial) = 6.51e-03, 95% CI [4.37e-03, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically significant and small (F(3, 14384) = 31.43, p < .001; Eta2 (partial) = 0.04, 95% CI [0.03, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Logit - Probit Specification
Sum Sq Df F value Pr(>F)
(Intercept) 19.87 1 284.90 0.00
dependence 10.34 1 148.28 0.00
selectivity 0.19 1 2.66 0.10
x_dist 4.54 3 21.70 0.00
dependence:selectivity 3.34 1 47.89 0.00
dependence:x_dist 1.60 3 7.67 0.00
selectivity:x_dist 1.06 3 5.06 0.00
dependence:selectivity:x_dist 0.27 3 1.30 0.27
Residuals 993.22 14241 NA NA

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14241) = 284.90, p < .001; Eta2 (partial) = 0.01, 95% CI [7.72e-03, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14241) = 148.28, p < .001; Eta2 (partial) = 1.87e-04, 95% CI [0.00, 1.00])
  • The main effect of selectivity is statistically not significant and very small (F(1, 14241) = 2.66, p = 0.103; Eta2 (partial) = 4.55e-03, 95% CI [2.76e-03, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14241) = 21.70, p < .001; Eta2 (partial) = 3.35e-03, 95% CI [1.95e-03, 1.00])
  • The interaction between dependence and selectivity is statistically significant and very small (F(1, 14241) = 47.89, p < .001; Eta2 (partial) = 1.61e-03, 95% CI [5.83e-04, 1.00])
  • The interaction between dependence and x_dist is statistically significant and very small (F(3, 14241) = 7.67, p < .001; Eta2 (partial) = 1.06e-03, 95% CI [2.48e-04, 1.00])
  • The interaction between selectivity and x_dist is statistically significant and very small (F(3, 14241) = 5.06, p = 0.002; Eta2 (partial) = 2.73e-04, 95% CI [0.00, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically not significant and small (F(3, 14241) = 1.30, p = 0.273; Eta2 (partial) = 0.01, 95% CI [7.72e-03, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Probit - Logit Specification
Sum Sq Df F value Pr(>F)
(Intercept) 50.17 1 786.94 0.00
dependence 9.35 1 146.66 0.00
selectivity 2.68 1 42.00 0.00
x_dist 3.69 3 19.28 0.00
dependence:selectivity 2.32 1 36.45 0.00
dependence:x_dist 0.79 3 4.12 0.01
selectivity:x_dist 0.26 3 1.34 0.26
dependence:selectivity:x_dist 0.47 3 2.45 0.06
Residuals 911.69 14301 NA NA

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14301) = 786.94, p < .001; Eta2 (partial) = 0.01, 95% CI [7.59e-03, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14301) = 146.66, p < .001; Eta2 (partial) = 2.93e-03, 95% CI [1.63e-03, 1.00])
  • The main effect of selectivity is statistically significant and very small (F(1, 14301) = 42.00, p < .001; Eta2 (partial) = 4.03e-03, 95% CI [2.35e-03, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14301) = 19.28, p < .001; Eta2 (partial) = 2.54e-03, 95% CI [1.35e-03, 1.00])
  • The interaction between dependence and selectivity is statistically significant and very small (F(1, 14301) = 36.45, p < .001; Eta2 (partial) = 8.63e-04, 95% CI [1.42e-04, 1.00])
  • The interaction between dependence and x_dist is statistically significant and very small (F(3, 14301) = 4.12, p = 0.006; Eta2 (partial) = 2.81e-04, 95% CI [0.00, 1.00])
  • The interaction between selectivity and x_dist is statistically not significant and very small (F(3, 14301) = 1.34, p = 0.260; Eta2 (partial) = 5.13e-04, 95% CI [0.00, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically not significant and small (F(3, 14301) = 2.45, p = 0.062; Eta2 (partial) = 0.01, 95% CI [7.59e-03, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Probit - Normal Specification
Sum Sq Df F value Pr(>F)
(Intercept) 5.21 1 1132.52 0.00
dependence 1.30 1 282.27 0.00
selectivity 0.14 1 30.85 0.00
x_dist 3.04 3 220.41 0.00
dependence:selectivity 0.08 1 18.09 0.00
dependence:x_dist 0.08 3 6.15 0.00
selectivity:x_dist 0.25 3 18.24 0.00
dependence:selectivity:x_dist 0.02 3 1.52 0.21
Residuals 66.23 14384 NA NA

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14384) = 1132.52, p < .001; Eta2 (partial) = 0.02, 95% CI [0.02, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14384) = 282.27, p < .001; Eta2 (partial) = 2.14e-03, 95% CI [1.06e-03, 1.00])
  • The main effect of selectivity is statistically significant and small (F(1, 14384) = 30.85, p < .001; Eta2 (partial) = 0.04, 95% CI [0.04, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14384) = 220.41, p < .001; Eta2 (partial) = 1.26e-03, 95% CI [4.73e-04, 1.00])
  • The interaction between dependence and selectivity is statistically significant and very small (F(1, 14384) = 18.09, p < .001; Eta2 (partial) = 1.28e-03, 95% CI [3.79e-04, 1.00])
  • The interaction between dependence and x_dist is statistically significant and very small (F(3, 14384) = 6.15, p < .001; Eta2 (partial) = 3.79e-03, 95% CI [2.17e-03, 1.00])
  • The interaction between selectivity and x_dist is statistically significant and very small (F(3, 14384) = 18.24, p < .001; Eta2 (partial) = 3.16e-04, 95% CI [0.00, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically not significant and small (F(3, 14384) = 1.52, p = 0.208; Eta2 (partial) = 0.02, 95% CI [0.02, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Probit - Poisson Specification
Sum Sq Df F value Pr(>F)
(Intercept) 0.51 1 618.29 0
dependence 0.30 1 359.31 0
selectivity 0.02 1 24.22 0
x_dist 1.67 3 672.46 0
dependence:selectivity 0.03 1 38.86 0
dependence:x_dist 0.48 3 193.80 0
selectivity:x_dist 0.09 3 35.45 0
dependence:selectivity:x_dist 0.07 3 27.44 0
Residuals 11.89 14384 NA NA

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14384) = 618.29, p < .001; Eta2 (partial) = 0.02, 95% CI [0.02, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14384) = 359.31, p < .001; Eta2 (partial) = 1.68e-03, 95% CI [7.45e-04, 1.00])
  • The main effect of selectivity is statistically significant and medium (F(1, 14384) = 24.22, p < .001; Eta2 (partial) = 0.12, 95% CI [0.11, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14384) = 672.46, p < .001; Eta2 (partial) = 2.69e-03, 95% CI [1.46e-03, 1.00])
  • The interaction between dependence and selectivity is statistically significant and small (F(1, 14384) = 38.86, p < .001; Eta2 (partial) = 0.04, 95% CI [0.03, 1.00])
  • The interaction between dependence and x_dist is statistically significant and very small (F(3, 14384) = 193.80, p < .001; Eta2 (partial) = 7.34e-03, 95% CI [5.07e-03, 1.00])
  • The interaction between selectivity and x_dist is statistically significant and very small (F(3, 14384) = 35.45, p < .001; Eta2 (partial) = 5.69e-03, 95% CI [3.69e-03, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically significant and small (F(3, 14384) = 27.44, p < .001; Eta2 (partial) = 0.02, 95% CI [0.02, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Probit - Probit Specification
Sum Sq Df F value Pr(>F)
(Intercept) 27.79 1 368.25 0.00
dependence 8.05 1 106.68 0.00
selectivity 1.08 1 14.32 0.00
x_dist 7.76 3 34.26 0.00
dependence:selectivity 5.56 1 73.63 0.00
dependence:x_dist 0.27 3 1.18 0.32
selectivity:x_dist 2.92 3 12.89 0.00
dependence:selectivity:x_dist 1.17 3 5.16 0.00
Residuals 1071.72 14204 NA NA

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and very small (F(1, 14204) = 368.25, p < .001; Eta2 (partial) = 7.45e-03, 95% CI [5.28e-03, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14204) = 106.68, p < .001; Eta2 (partial) = 1.01e-03, 95% CI [3.22e-04, 1.00])
  • The main effect of selectivity is statistically significant and very small (F(1, 14204) = 14.32, p < .001; Eta2 (partial) = 7.18e-03, 95% CI [4.92e-03, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14204) = 34.26, p < .001; Eta2 (partial) = 5.16e-03, 95% CI [3.37e-03, 1.00])
  • The interaction between dependence and selectivity is statistically significant and very small (F(1, 14204) = 73.63, p < .001; Eta2 (partial) = 2.48e-04, 95% CI [0.00, 1.00])
  • The interaction between dependence and x_dist is statistically not significant and very small (F(3, 14204) = 1.18, p = 0.317; Eta2 (partial) = 2.71e-03, 95% CI [1.35e-03, 1.00])
  • The interaction between selectivity and x_dist is statistically significant and very small (F(3, 14204) = 12.89, p < .001; Eta2 (partial) = 1.09e-03, 95% CI [2.61e-04, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically significant and very small (F(3, 14204) = 5.16, p = 0.001; Eta2 (partial) = 7.45e-03, 95% CI [5.28e-03, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

betaO2 : coefficient on exogenous variable X2

ANOVA : Logit - Logit Specification
Sum Sq Df F value Pr(>F)
(Intercept) 27.40 1 456.02 0.00
dependence 30.96 1 515.43 0.00
selectivity 0.79 1 13.08 0.00
x_dist 2.25 3 12.47 0.00
dependence:selectivity 2.80 1 46.67 0.00
dependence:x_dist 5.31 3 29.48 0.00
selectivity:x_dist 0.35 3 1.92 0.12
dependence:selectivity:x_dist 0.18 3 1.02 0.38
Residuals 857.93 14281 NA NA

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14281) = 456.02, p < .001; Eta2 (partial) = 0.03, 95% CI [0.03, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14281) = 515.43, p < .001; Eta2 (partial) = 9.15e-04, 95% CI [2.72e-04, 1.00])
  • The main effect of selectivity is statistically significant and very small (F(1, 14281) = 13.08, p < .001; Eta2 (partial) = 2.61e-03, 95% CI [1.28e-03, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14281) = 12.47, p < .001; Eta2 (partial) = 3.26e-03, 95% CI [1.88e-03, 1.00])
  • The interaction between dependence and selectivity is statistically significant and very small (F(1, 14281) = 46.67, p < .001; Eta2 (partial) = 6.16e-03, 95% CI [4.07e-03, 1.00])
  • The interaction between dependence and x_dist is statistically significant and very small (F(3, 14281) = 29.48, p < .001; Eta2 (partial) = 4.03e-04, 95% CI [0.00, 1.00])
  • The interaction between selectivity and x_dist is statistically not significant and very small (F(3, 14281) = 1.92, p = 0.124; Eta2 (partial) = 2.14e-04, 95% CI [0.00, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically not significant and small (F(3, 14281) = 1.02, p = 0.384; Eta2 (partial) = 0.03, 95% CI [0.03, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Logit - Normal Specification
Sum Sq Df F value Pr(>F)
(Intercept) 3.89 1 2549.61 0.00
dependence 0.01 1 3.40 0.07
selectivity 0.07 1 43.74 0.00
x_dist 0.04 3 8.44 0.00
dependence:selectivity 0.00 1 2.44 0.12
dependence:x_dist 0.01 3 1.44 0.23
selectivity:x_dist 0.01 3 2.31 0.07
dependence:selectivity:x_dist 0.01 3 2.58 0.05
Residuals 21.93 14384 NA NA

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and very small (F(1, 14384) = 2549.61, p < .001; Eta2 (partial) = 2.36e-04, 95% CI [0.00, 1.00])
  • The main effect of dependence is statistically not significant and very small (F(1, 14384) = 3.40, p = 0.065; Eta2 (partial) = 3.03e-03, 95% CI [1.71e-03, 1.00])
  • The main effect of selectivity is statistically significant and very small (F(1, 14384) = 43.74, p < .001; Eta2 (partial) = 1.76e-03, 95% CI [6.82e-04, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14384) = 8.44, p < .001; Eta2 (partial) = 1.70e-04, 95% CI [0.00, 1.00])
  • The interaction between dependence and selectivity is statistically not significant and very small (F(1, 14384) = 2.44, p = 0.118; Eta2 (partial) = 2.99e-04, 95% CI [0.00, 1.00])
  • The interaction between dependence and x_dist is statistically not significant and very small (F(3, 14384) = 1.44, p = 0.230; Eta2 (partial) = 4.81e-04, 95% CI [0.00, 1.00])
  • The interaction between selectivity and x_dist is statistically not significant and very small (F(3, 14384) = 2.31, p = 0.074; Eta2 (partial) = 5.37e-04, 95% CI [0.00, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically not significant and very small (F(3, 14384) = 2.58, p = 0.052; Eta2 (partial) = 2.36e-04, 95% CI [0.00, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Logit - Poisson Specification
Sum Sq Df F value Pr(>F)
(Intercept) 0.39 1 1291.62 0
dependence 0.24 1 773.08 0
selectivity 0.00 1 14.72 0
x_dist 0.22 3 237.07 0
dependence:selectivity 0.04 1 125.33 0
dependence:x_dist 0.21 3 230.99 0
selectivity:x_dist 0.02 3 18.84 0
dependence:selectivity:x_dist 0.03 3 32.09 0
Residuals 4.39 14384 NA NA

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14384) = 1291.62, p < .001; Eta2 (partial) = 0.05, 95% CI [0.05, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14384) = 773.08, p < .001; Eta2 (partial) = 1.02e-03, 95% CI [3.34e-04, 1.00])
  • The main effect of selectivity is statistically significant and small (F(1, 14384) = 14.72, p < .001; Eta2 (partial) = 0.05, 95% CI [0.04, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14384) = 237.07, p < .001; Eta2 (partial) = 8.64e-03, 95% CI [6.30e-03, 1.00])
  • The interaction between dependence and selectivity is statistically significant and small (F(1, 14384) = 125.33, p < .001; Eta2 (partial) = 0.05, 95% CI [0.04, 1.00])
  • The interaction between dependence and x_dist is statistically significant and very small (F(3, 14384) = 230.99, p < .001; Eta2 (partial) = 3.91e-03, 95% CI [2.27e-03, 1.00])
  • The interaction between selectivity and x_dist is statistically significant and very small (F(3, 14384) = 18.84, p < .001; Eta2 (partial) = 6.65e-03, 95% CI [4.49e-03, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically significant and small (F(3, 14384) = 32.09, p < .001; Eta2 (partial) = 0.05, 95% CI [0.05, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Logit - Probit Specification
Sum Sq Df F value Pr(>F)
(Intercept) 15.53 1 282.91 0.00
dependence 24.60 1 447.99 0.00
selectivity 0.38 1 6.89 0.01
x_dist 3.47 3 21.06 0.00
dependence:selectivity 3.10 1 56.53 0.00
dependence:x_dist 1.31 3 7.94 0.00
selectivity:x_dist 0.83 3 5.06 0.00
dependence:selectivity:x_dist 0.24 3 1.46 0.22
Residuals 782.15 14244 NA NA

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14244) = 282.91, p < .001; Eta2 (partial) = 0.03, 95% CI [0.03, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14244) = 447.99, p < .001; Eta2 (partial) = 4.84e-04, 95% CI [6.73e-05, 1.00])
  • The main effect of selectivity is statistically significant and very small (F(1, 14244) = 6.89, p = 0.009; Eta2 (partial) = 4.42e-03, 95% CI [2.66e-03, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14244) = 21.06, p < .001; Eta2 (partial) = 3.95e-03, 95% CI [2.41e-03, 1.00])
  • The interaction between dependence and selectivity is statistically significant and very small (F(1, 14244) = 56.53, p < .001; Eta2 (partial) = 1.67e-03, 95% CI [6.20e-04, 1.00])
  • The interaction between dependence and x_dist is statistically significant and very small (F(3, 14244) = 7.94, p < .001; Eta2 (partial) = 1.07e-03, 95% CI [2.49e-04, 1.00])
  • The interaction between selectivity and x_dist is statistically significant and very small (F(3, 14244) = 5.06, p = 0.002; Eta2 (partial) = 3.08e-04, 95% CI [0.00, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically not significant and small (F(3, 14244) = 1.46, p = 0.222; Eta2 (partial) = 0.03, 95% CI [0.03, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Probit - Logit Specification
Sum Sq Df F value Pr(>F)
(Intercept) 38.15 1 768.67 0.00
dependence 10.71 1 215.88 0.00
selectivity 2.06 1 41.58 0.00
x_dist 2.46 3 16.50 0.00
dependence:selectivity 2.07 1 41.76 0.00
dependence:x_dist 2.03 3 13.65 0.00
selectivity:x_dist 0.70 3 4.70 0.00
dependence:selectivity:x_dist 0.26 3 1.72 0.16
Residuals 708.79 14282 NA NA

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14282) = 768.67, p < .001; Eta2 (partial) = 0.01, 95% CI [0.01, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14282) = 215.88, p < .001; Eta2 (partial) = 2.90e-03, 95% CI [1.61e-03, 1.00])
  • The main effect of selectivity is statistically significant and very small (F(1, 14282) = 41.58, p < .001; Eta2 (partial) = 3.45e-03, 95% CI [1.91e-03, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14282) = 16.50, p < .001; Eta2 (partial) = 2.92e-03, 95% CI [1.62e-03, 1.00])
  • The interaction between dependence and selectivity is statistically significant and very small (F(1, 14282) = 41.76, p < .001; Eta2 (partial) = 2.86e-03, 95% CI [1.46e-03, 1.00])
  • The interaction between dependence and x_dist is statistically significant and very small (F(3, 14282) = 13.65, p < .001; Eta2 (partial) = 9.87e-04, 95% CI [2.07e-04, 1.00])
  • The interaction between selectivity and x_dist is statistically significant and very small (F(3, 14282) = 4.70, p = 0.003; Eta2 (partial) = 3.61e-04, 95% CI [0.00, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically not significant and small (F(3, 14282) = 1.72, p = 0.161; Eta2 (partial) = 0.01, 95% CI [0.01, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Probit - Normal Specification
Sum Sq Df F value Pr(>F)
(Intercept) 4.11 1 2444.20 0.00
dependence 0.00 1 0.00 0.97
selectivity 0.21 1 123.07 0.00
x_dist 0.03 3 5.07 0.00
dependence:selectivity 0.00 1 0.30 0.59
dependence:x_dist 0.00 3 0.80 0.49
selectivity:x_dist 0.01 3 2.92 0.03
dependence:selectivity:x_dist 0.00 3 0.52 0.67
Residuals 24.19 14384 NA NA

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and very small (F(1, 14384) = 2444.20, p < .001; Eta2 (partial) = 8.63e-08, 95% CI [0.00, 1.00])
  • The main effect of dependence is statistically not significant and very small (F(1, 14384) = 1.24e-03, p = 0.972; Eta2 (partial) = 8.48e-03, 95% CI [6.16e-03, 1.00])
  • The main effect of selectivity is statistically significant and very small (F(1, 14384) = 123.07, p < .001; Eta2 (partial) = 1.06e-03, 95% CI [2.47e-04, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14384) = 5.07, p = 0.002; Eta2 (partial) = 2.06e-05, 95% CI [0.00, 1.00])
  • The interaction between dependence and selectivity is statistically not significant and very small (F(1, 14384) = 0.30, p = 0.587; Eta2 (partial) = 1.67e-04, 95% CI [0.00, 1.00])
  • The interaction between dependence and x_dist is statistically not significant and very small (F(3, 14384) = 0.80, p = 0.492; Eta2 (partial) = 6.09e-04, 95% CI [2.63e-05, 1.00])
  • The interaction between selectivity and x_dist is statistically significant and very small (F(3, 14384) = 2.92, p = 0.033; Eta2 (partial) = 1.08e-04, 95% CI [0.00, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically not significant and very small (F(3, 14384) = 0.52, p = 0.670; Eta2 (partial) = 8.63e-08, 95% CI [0.00, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Probit - Poisson Specification
Sum Sq Df F value Pr(>F)
(Intercept) 0.38 1 1488.05 0.00
dependence 0.10 1 401.58 0.00
selectivity 0.00 1 5.71 0.02
x_dist 0.20 3 254.77 0.00
dependence:selectivity 0.04 1 149.69 0.00
dependence:x_dist 0.13 3 163.08 0.00
selectivity:x_dist 0.01 3 18.31 0.00
dependence:selectivity:x_dist 0.04 3 58.41 0.00
Residuals 3.69 14384 NA NA

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14384) = 1488.05, p < .001; Eta2 (partial) = 0.03, 95% CI [0.02, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14384) = 401.58, p < .001; Eta2 (partial) = 3.97e-04, 95% CI [3.76e-05, 1.00])
  • The main effect of selectivity is statistically significant and small (F(1, 14384) = 5.71, p = 0.017; Eta2 (partial) = 0.05, 95% CI [0.04, 1.00])
  • The main effect of x_dist is statistically significant and small (F(3, 14384) = 254.77, p < .001; Eta2 (partial) = 0.01, 95% CI [7.73e-03, 1.00])
  • The interaction between dependence and selectivity is statistically significant and small (F(1, 14384) = 149.69, p < .001; Eta2 (partial) = 0.03, 95% CI [0.03, 1.00])
  • The interaction between dependence and x_dist is statistically significant and very small (F(3, 14384) = 163.08, p < .001; Eta2 (partial) = 3.80e-03, 95% CI [2.18e-03, 1.00])
  • The interaction between selectivity and x_dist is statistically significant and small (F(3, 14384) = 18.31, p < .001; Eta2 (partial) = 0.01, 95% CI [9.12e-03, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically significant and small (F(3, 14384) = 58.41, p < .001; Eta2 (partial) = 0.03, 95% CI [0.02, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots

ANOVA : Probit - Probit Specification
Sum Sq Df F value Pr(>F)
(Intercept) 23.00 1 402.58 0.0
dependence 11.64 1 203.79 0.0
selectivity 1.33 1 23.20 0.0
x_dist 5.10 3 29.74 0.0
dependence:selectivity 3.53 1 61.80 0.0
dependence:x_dist 1.35 3 7.86 0.0
selectivity:x_dist 1.32 3 7.67 0.0
dependence:selectivity:x_dist 0.17 3 0.99 0.4
Residuals 810.44 14184 NA NA

The ANOVA suggests that:

  • The main effect of (Intercept) is statistically significant and small (F(1, 14184) = 402.58, p < .001; Eta2 (partial) = 0.01, 95% CI [0.01, 1.00])
  • The main effect of dependence is statistically significant and very small (F(1, 14184) = 203.79, p < .001; Eta2 (partial) = 1.63e-03, 95% CI [7.08e-04, 1.00])
  • The main effect of selectivity is statistically significant and very small (F(1, 14184) = 23.20, p < .001; Eta2 (partial) = 6.25e-03, 95% CI [4.14e-03, 1.00])
  • The main effect of x_dist is statistically significant and very small (F(3, 14184) = 29.74, p < .001; Eta2 (partial) = 4.34e-03, 95% CI [2.72e-03, 1.00])
  • The interaction between dependence and selectivity is statistically significant and very small (F(1, 14184) = 61.80, p < .001; Eta2 (partial) = 1.66e-03, 95% CI [6.11e-04, 1.00])
  • The interaction between dependence and x_dist is statistically significant and very small (F(3, 14184) = 7.86, p < .001; Eta2 (partial) = 1.62e-03, 95% CI [5.86e-04, 1.00])
  • The interaction between selectivity and x_dist is statistically significant and very small (F(3, 14184) = 7.67, p < .001; Eta2 (partial) = 2.09e-04, 95% CI [0.00, 1.00])
  • The interaction between dependence, selectivity and x_dist is statistically not significant and small (F(3, 14184) = 0.99, p = 0.398; Eta2 (partial) = 0.01, 95% CI [0.01, 1.00])

Effect sizes were labelled following Field’s (2013) recommendations.

Two-way Interaction Plots